7. If the angles of a quadrilateral are xº, (2x +13)º,
(3x + 10), (x - 6), find x.
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47
QUESTION :-
If the angles of a quadrilateral are xº, (2x +13)º, (3x + 10), (x - 6), find x.
SOLUTION:-
We know that the four angles of any quadrilateral measure 360°.
=>Since, First angle + second angle + third angle + fourth angle = 360°.
[put, their values ]
=>x+2x+13+3x+10+x-6= 360°
=>7x + 17 = 360°
=>7x = (360-17)°
=>7x= 343°
=> x = 49°.
Hence, the value of x is 49°.
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Answered by
3
Given ,
The angles of a quadrilateral are x , (2x + 13) , (3x + 10) , and (x - 6)
We know that ,
The sum of all angles of quadrilateral is 360
Thus ,
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